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A reaction network is a chemical system involving multiple reactions and chemical species. Stochastic models of such networks treat the system as a continuous time Markov chain on the number of molecules of each species with reactions as…

Probability · Mathematics 2007-05-23 Karen Ball , Thomas G. Kurtz , Lea Popovic , Greg Rempala

The work presented in this thesis concerns different aspects of dynamical processes on networks. The first subject considered is the theoretical modeling of exploration processes of complex networks, such as the ``traceroute'' process used…

Physics and Society · Physics 2007-05-23 Luca Dall'Asta

Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

Quantitative Methods · Quantitative Biology 2024-09-12 Stephen Y Zhang

In recent years networks have gained unprecedented attention in studying a broad range of topics, among them in complex systems research. In particular, multi-agent systems have seen an increased recognition of the importance of the…

Physics and Society · Physics 2007-05-23 László Gulyás , Elenna R. Dugundji

We use a data-driven agent-based model to study the core-periphery structure of two collaboration networks, R&D alliances between firms and co-authorship relations between scientists. To characterize the network embeddedness of agents, we…

Physics and Society · Physics 2022-01-25 Frank Schweitzer , Antonios Garas , Mario V. Tomasello , Giacomo Vaccario , Luca Verginer

Here we propose a generic mechanism - networked buffering - for generating robust traits in complex systems that requires two basic conditions to be satisfied: 1) agents are versatile enough to perform more than one single functional role…

Adaptation and Self-Organizing Systems · Physics 2011-12-15 James M Whitacre , Axel Bender

Robustness of biochemical systems has become one of the central questions in systems biology although it is notoriously difficult to formally capture its multifaceted nature. Maintenance of normal system function depends not only on the…

Molecular Networks · Quantitative Biology 2012-03-28 Jost Neigenfind , Sergio Grimbs , Zoran Nikoloski

Many complex systems present an intrinsic bipartite nature and are often described and modeled in terms of networks [1-5]. Examples include movies and actors [1, 2, 4], authors and scientific papers [6-9], email accounts and emails [10],…

Physics and Society · Physics 2014-03-31 Michele Tumminello , Salvatore Miccichè , Fabrizio Lillo , Jyrki Piilo , Rosario N. Mantegna

Complementarity is one of the main features underlying the interactions in biological and biochemical systems. Inspired by those systems we propose a model for the dynamical evolution of a system composed by agents that interact due to…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Copelli , R. M. Zorzenon dos Santos , J. S. Sa Martins

We present a novel way to characterize the structure of complex networks by studying the statistical properties of the trajectories of random walks over them. We consider time series corresponding to different properties of the nodes…

Physics and Society · Physics 2014-06-17 Vincenzo Nicosia , Manlio De Domenico , Vito Latora

Human social behavior plays a crucial role in how pathogens like SARS-CoV-2 or fake news spread in a population. Social interactions determine the contact network among individuals, while spreading, requiring individual-to-individual…

Physics and Society · Physics 2022-04-15 Mark M. Dekker , Tessa F. Blanken , Fabian Dablander , Jiamin Ou , Denny Borsboom , Debabrata Panja

Random boolean networks are a model of genetic regulatory networks that has proven able to describe experimental data in biology. They not only reproduce important phenomena in cell dynamics, but they are also extremely interesting from a…

Dynamical Systems · Mathematics 2015-02-26 Marco Villani , Davide Campioli , Chiara Damiani , Andrea Roli , Alessandro Filisetti , Roberto Serra

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

Complex networks are characterized by latent geometries induced by their topology or by the dynamics on the top of them. In the latter case, different network-driven processes induce distinct geometric features that can be captured by…

Physics and Society · Physics 2021-04-07 Giulia Bertagnolli , Manlio De Domenico

Evaluating node influence is fundamental for identifying key nodes in complex networks. Existing methods typically rely on generic indicators to rank node influence across diverse networks, thereby ignoring the individualized features of…

Social and Information Networks · Computer Science 2024-05-14 Bingyu Zhu , Qingyun Sun , Jianxin Li , Daqing Li

Modeling biological networks serves as both a major goal and an effective tool of systems biology in studying mechanisms that orchestrate the activities of gene products in cells. Biological networks are context specific and dynamic in…

Molecular Networks · Quantitative Biology 2014-02-20 Ye Tian , Bai Zhang , Eric P. Hoffman , Robert Clarke , Zhen Zhang , Ie-Ming Shih , Jianhua Xuan , David M. Herrington , Yue Wang

Extreme events are emergent phenomena in multi-particle transport processes on complex networks. In practice, such events could range from power blackouts to call drops in cellular networks to traffic congestion on roads. All the earlier…

Physics and Society · Physics 2020-10-27 Aanjaneya Kumar , Suman Kulkarni , M. S. Santhanam

The degree distribution of many biological and technological networks has been described as a power-law distribution. While the degree distribution does not capture all aspects of a network, it has often been suggested that its functional…

Molecular Networks · Quantitative Biology 2007-05-23 Michael P. H. Stumpf , Piers J. Ingram

Systems Biology has emerged in the last years as a new holistic approach based on the global understanding of cells instead of only being focused on their individual parts (genes or proteins), to better understand the complexity of human…

Dynamical systems with polynomial right-hand sides are very important in various applications, e.g., in biochemistry and population dynamics. The mathematical study of these dynamical systems is challenging due to the possibility of…

Dynamical Systems · Mathematics 2026-01-16 Balázs Boros , Gheorghe Craciun , Oskar Henriksson , Jiaxin Jin , Diego Rojas La Luz